Abstract
We provide exact results for the mean and variance of first-passage times (FPTs) of making a directed revolution in the presence of a bias in heterogeneous quenched environments where the disorder is expressed by random traps on a ring with period L. FPT statistics are crucially affected by the disorder realization. In the large-L limit, we obtain exact formulas for the FPT statistics, which are described by the sample mean and variance for waiting times of periodically arranged traps. Furthermore, we find that these formulas are still useful for nonperiodic heterogeneous environments; i.e., the results are valid for almost all disorder realizations. Our findings are fundamentally important for the application of FPT to estimate diffusivity of a heterogeneous environment under a bias.
| Original language | English |
|---|---|
| Article number | 052127 |
| Journal | Physical Review E |
| Volume | 99 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2019 May 20 |
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ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
Cite this
Exact results for first-passage-time statistics in biased quenched trap models. / Akimoto, Takuma; Saitou, Keiji.
In: Physical Review E, Vol. 99, No. 5, 052127, 20.05.2019.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Exact results for first-passage-time statistics in biased quenched trap models
AU - Akimoto, Takuma
AU - Saitou, Keiji
PY - 2019/5/20
Y1 - 2019/5/20
N2 - We provide exact results for the mean and variance of first-passage times (FPTs) of making a directed revolution in the presence of a bias in heterogeneous quenched environments where the disorder is expressed by random traps on a ring with period L. FPT statistics are crucially affected by the disorder realization. In the large-L limit, we obtain exact formulas for the FPT statistics, which are described by the sample mean and variance for waiting times of periodically arranged traps. Furthermore, we find that these formulas are still useful for nonperiodic heterogeneous environments; i.e., the results are valid for almost all disorder realizations. Our findings are fundamentally important for the application of FPT to estimate diffusivity of a heterogeneous environment under a bias.
AB - We provide exact results for the mean and variance of first-passage times (FPTs) of making a directed revolution in the presence of a bias in heterogeneous quenched environments where the disorder is expressed by random traps on a ring with period L. FPT statistics are crucially affected by the disorder realization. In the large-L limit, we obtain exact formulas for the FPT statistics, which are described by the sample mean and variance for waiting times of periodically arranged traps. Furthermore, we find that these formulas are still useful for nonperiodic heterogeneous environments; i.e., the results are valid for almost all disorder realizations. Our findings are fundamentally important for the application of FPT to estimate diffusivity of a heterogeneous environment under a bias.
UR - http://www.scopus.com/inward/record.url?scp=85066754717&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85066754717&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.99.052127
DO - 10.1103/PhysRevE.99.052127
M3 - Article
C2 - 31212478
AN - SCOPUS:85066754717
VL - 99
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 5
M1 - 052127
ER -